Fig. 3: Dependence of the density of nonadiabatic excitations on the sweeping rate and interaction strengths.
From: Parametric tuning of quantum phase transitions in ultracold reactions
a Numerically obtained dependence of the density nex of the excitations on βeff for different values of the coupling r (at N = 100). The curves correspond to the optimal fit for the exponent μ as predicted by (29). b Asymptotic dependence of the quasi-adiabatic saturation value of nex on the ratio δr2/g2 in the adiabatic limit (N = 500). The slope of the linear fit is ~0.97, which corresponds well with the analytical expression in (26). c Asymptotic dependence of the β-dependent part of nex on δr/g for the non-adiabatic case at different values of sweeping rate βeff, where \({\beta }_{{{\rm{eff}}}}=(\beta \ln N)/{g}^{2}\) (decreasing from 1.5 to 0.6, top to bottom), the slopes of which are all the same ( ~ 0.22) as expected (N = 200).
